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51122340 = 2235567157
BaseRepresentation
bin1100001100000…
…1000010100100
310120012021200000
43003001002210
5101041403330
65023421300
71160350503
oct303010244
9116167600
1051122340
1126947a75
1215154830
13a78c209
146b0a83a
15474c560
hex30c10a4

51122340 has 144 divisors (see below), whose sum is σ = 164254272. Its totient is φ = 13343616.

The previous prime is 51122333. The next prime is 51122341. The reversal of 51122340 is 4322115.

It is a super-2 number, since 2×511223402 = 5226987294151200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51122341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325542 + ... + 325698.

Almost surely, 251122340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82127136).

51122340 is an abundant number, since it is smaller than the sum of its proper divisors (113131932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51122340 is a wasteful number, since it uses less digits than its factorization.

51122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51122340 is about 7149.9888111801. The cubic root of 51122340 is about 371.1392690881.

Adding to 51122340 its reverse (4322115), we get a palindrome (55444455).

The spelling of 51122340 in words is "fifty-one million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 157 162 180 201 243 268 270 314 324 335 402 405 471 486 540 603 628 670 785 804 810 942 972 1005 1206 1215 1340 1413 1570 1620 1809 1884 2010 2355 2412 2430 2826 3015 3140 3618 4020 4239 4710 4860 5427 5652 6030 7065 7236 8478 9045 9420 10519 10854 12060 12717 14130 16281 16956 18090 21038 21195 21708 25434 27135 28260 31557 32562 36180 38151 42076 42390 50868 52595 54270 63114 63585 65124 76302 81405 84780 94671 105190 108540 126228 127170 152604 157785 162810 189342 190755 210380 254340 284013 315570 325620 378684 381510 473355 568026 631140 763020 852039 946710 1136052 1420065 1704078 1893420 2556117 2840130 3408156 4260195 5112234 5680260 8520390 10224468 12780585 17040780 25561170 51122340